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Numerical Bifurcation Analysis of Maps
Combines a systematic analysis of bifurcations of iterated maps with concrete MATLAB® implementations and applications.
Case Studies in Systems Biology
This book provides case studies that can be used in Systems Biology related classes. Each case study has the same structure which answers the following questions: What is the biological problem and why is it interesting? What are the relevant details with regard to cell physiology and molecular mechanisms? How are the details put together into a mathematical model? How is the model analyzed and simulated? What are the results of the model? How do they compare to the known facts of the cell physiology? Does the model make predictions? What can be done to extend the model? The book presents a summary of results and references to more relevant sources. The volume contains the classic collection of topics and studies that are well established yet novel in the systems biology field.
Symmetry and Perturbation Theory
This proceedings volume is devoted to the interplay of symmetry and perturbation theory, as well as to cognate fields such as integrable systems, normal forms, n-body dynamics and choreographies, geometry and symmetry of differential equations, and finite and infinite dimensional dynamical systems. The papers collected here provide an up-to-date overview of the research in the field, and have many leading scientists in the field among their authors, including: D Alekseevsky, S Benenti, H Broer, A Degasperis, M E Fels, T Gramchev, H Hanssmann, J Krashil''shchik, B Kruglikov, D Krupka, O Krupkova, S Lombardo, P Morando, O Morozov, N N Nekhoroshev, F Oliveri, P J Olver, J A Sanders, M A Teixeir...
Discrete Variational Problems with Interfaces
Many materials can be modeled either as discrete systems or as continua, depending on the scale. At intermediate scales it is necessary to understand the transition from discrete to continuous models and variational methods have proved successful in this task, especially for systems, both stochastic and deterministic, that depend on lattice energies. This is the first systematic and unified presentation of research in the area over the last 20 years. The authors begin with a very general and flexible compactness and representation result, complemented by a thorough exploration of problems for ferromagnetic energies with applications ranging from optimal design to quasicrystals and percolation. This leads to a treatment of frustrated systems, and infinite-dimensional systems with diffuse interfaces. Each topic is presented with examples, proofs and applications. Written by leading experts, it is suitable as a graduate course text as well as being an invaluable reference for researchers.
Quasi-Interpolation
Delve into an in-depth description and analysis of quasi-interpolation, starting from various areas of approximation theory.
Spaces of Measures and their Applications to Structured Population Models
Presents a comprehensive analytical framework for structured population models in spaces of Radon measures and their numerical approximation.
Mathematical Modelling of the Human Cardiovascular System
Addresses the mathematical and numerical modelling of the human cardiovascular system, from patient data to clinical applications.
The Christoffel–Darboux Kernel for Data Analysis
This accessible overview introduces the Christoffel-Darboux kernel as a novel, simple and efficient tool in statistical data analysis.
Geometry of the Phase Retrieval Problem
This book provides a theoretical foundation and conceptual framework for the problem of recovering the phase of the Fourier transform.
